What is 3/5 of 26?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/5 of 26? We'll show you a straightforward method to achieve that.

How to calculate 3/5 of 26?

  1. Multiply the whole number by the numerator of the fraction: 26 × 3 = 78
  2. Divide this result by denominator of the fraction: 78/5 = 15.6

Since 78/5 is an improper fraction, the result could also be expressed as a mixed number: 15 3/5

How does it work?

The principle behind finding a fraction of a number, such as 3/5 of 26, is rooted in the method of cross-multiplication.

Consider the following proportion: 3 5 = x 26 (where x represents 3/5 of 26)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 26 = 5 x
  2. Which gives: 78 = 5 x
  3. Divide both sides by 5 to isolate x: 78 5 = 5 x 5
  4. Which gives the result: 78 5 = x

Thus, 3/5 of 26 is equal to 78/5 (or 15.6 in its decimal form).